104931680 has 96 divisors (see below), whose sum is σ = 298287360. Its totient is φ = 34076160.

The previous prime is 104931649. The next prime is 104931689. The reversal of 104931680 is 86139401.

It is a happy number.

It is a super-2 number, since 2×104931680² = 22021314935244800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (104931689) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 18815 + ... + 23745.

It is an arithmetic number, because the mean of its divisors is an integer number (3107160).

Almost surely, 2^104931680 is an apocalyptic number.

104931680 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 104931680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (149143680).

104931680 is an abundant number, since it is smaller than the sum of its proper divisors (193355680).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

104931680 is a wasteful number, since it uses less digits than its factorization.

104931680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4972 (or 4964 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 32.

The square root of 104931680 is about 10243.6165488562. The cubic root of 104931680 is about 471.6670542907.

The spelling of 104931680 in words is "one hundred four million, nine hundred thirty-one thousand, six hundred eighty".